SCALAR CURVATURE OF CONTACT CR-SUBMANIFOLDS IN AN ODD-DIMENSIONAL UNIT SPHERE

被引：2

作者：

Kim, Hyang Sook ^{[1
]}

Pak, Jin Suk ^{[2
]}

机构：

[1] Inje Univ, Inst Basic Sci, Sch Comp Aided Sci, Dept Computat Math, Kimhae 621749, South Korea

[2] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 47卷 / 03期

关键词：

Sasakian manifold; odd-dimensional unit sphere; contact CR-submanifold; scalar curvature;

D O I：

10.4134/BKMS.2010.47.3.541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we derive an integral formula on an (n + 1)dimensional, compact, minimal contact CR-submanifold M of (n - 1) contact CR-dimension immersed in a unit (2m+1)-sphere S(2m+1). Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.

引用

页码：541 / 549

页数：9